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Finding the Fourth Proportional to 213.59, 318.47 and 208.28

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Solution

The fourth proportional to 213.59, 318.47 and 208.28 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.59 : 318.47 = 208.28 : x
  2. Step 2: Convert to fraction form
    213.59/318.47 = 208.28/x
  3. Step 3: Cross multiply
    213.59x = 318.47 × 208.28
  4. Step 4: Simplify right side
    213.59x = 66,329.09
  5. Step 5: Solve for x
    x = 66,329.09/213.59
  6. Step 6: Final answer
    x = 310.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.